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Deformation of K-theoretic cycles
Published 3 Mar 2016 in math.AG | (1603.01008v4)
Abstract: By using higher K-theory, we study deformation theory of K-theoretic cycles. As an application, we answer two questions posed by Mark Green and Philip Griffiths: (1). How to define tangent spaces to cycle class groups in general? (2). Obstruction issues. The highlight is the appearance of negative K-groups which detects the obstructions to deforming cycles.
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